Question

Y=√x find dy/dx pls show steps

Answer 1

This involves a quick application of the power rule, which is
`f'(x)=nx^(n-1)`.

First, it is helpful to rewrite
`f(x)=√(x)` as
`f(x)=x^{(1)/(2)}`. Remember that these are equivalent forms, but the latter is easier to use with the power rule.

We apply the power rule and simply:


`(1)/(2)(x)^{((-1)/(2))}=(1)/(2x^(1/2)) = (1)/(2 √(x) )`